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X-ORIGINAL-URL:https://colleges.claremont.edu/ccms
X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20200122T161500
DTEND;TZID=America/Los_Angeles:20200122T171500
DTSTAMP:20260412T005633
CREATED:20200114T162847Z
LAST-MODIFIED:20200114T164947Z
UID:1756-1579709700-1579713300@colleges.claremont.edu
SUMMARY:CCMS Field Committee Meeting
DESCRIPTION:The Field Committee Meeting is our chance to socialize with our colleagues and coordinate our course offerings for the coming academic year (2020-2021).\n\nPlease come to discuss course offerings and other synergistic items.\n\nRefreshments starting at 3:15\, meeting at 4:15.
URL:https://colleges.claremont.edu/ccms/event/1756/
LOCATION:Shanahan B460\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium,Special Event
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20200123T121500
DTEND;TZID=America/Los_Angeles:20200123T131000
DTSTAMP:20260412T005633
CREATED:20191008T203742Z
LAST-MODIFIED:20200120T195443Z
UID:1599-1579781700-1579785000@colleges.claremont.edu
SUMMARY:Dragging the roots of a polynomial to the unit circle (Sinai Robins\, University of Sao Paulo)
DESCRIPTION:Several conditions are known for a self-inversive polynomial that ascertain the location of its roots\, and we present a framework for comparison of those conditions. We associate a parametric family of polynomials p_α(x) to each such polynomial p\, and define cn(p)\, il(p) to be the sharp threshold values of α that guarantee that\, for all larger values of the parameter\, p_α(x) has\, respectively\, all roots in the unit circle and all roots interlacing the roots of unity of the same degree.  Interlacing implies circle rootedness\, hence il(p) ≥ cn(p)\, and this inequality is often used for showing circle rootedness. Both il(p) and cn(p) turn out to be semi-algebraic functions of the coefficients of p\, and some useful bounds are also presented\, entailing several known results about roots in the circle. The study of il(p) leads to a rich classification of real self-inversive polynomials of each degree\, organizing them into a complete polyhedral fan. We have a close look at the class of polynomials for which il(p) = cn(p)\, whereas in general the quotient il(p)/cn(p) is shown to be unbounded as the degree grows. Several examples and open questions are presented.  This is joint work with Arnaldo Mandel.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-sinai-robins-university-of-sao-paulo/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
GEO:34.099908;-117.7142522
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20200127T161500
DTEND;TZID=America/Los_Angeles:20200127T171500
DTSTAMP:20260412T005633
CREATED:20191021T210941Z
LAST-MODIFIED:20200120T080056Z
UID:1616-1580141700-1580145300@colleges.claremont.edu
SUMMARY:Applied Math Talk:  Statistical Mechanics of Molecular Evolution and its Role in the SELEX Protocol given by Prof. Bhaven Mistry (CMC)
DESCRIPTION:Antibodies are the standard biomolecule for marking molecular structures and delivering drugs due to their specific binding capabilities. However\, they are expensive to produce and their relatively large size prevents their easy traversal of bi-lipid membranes. Over the past 30 years\, molecular recognition has also been achieved through the use of aptamers\, short oligonucleotide sequences that fold in conformations that allow them to specifically bind to targets. These aptamers are produced rapidly and efficiently through a process known as Systematic Evolution of Ligands by EXponential enrichment (SELEX) whereby a molecular selection mechanism based on competitive binding enriches the population of given strands and removes unwanted sequences\, yielding high target specificity and affinity. Current SELEX mathematical models are formulated in the mass action limit\, which assumes large aptamer/target concentrations. Low number effects\, such as the extinction probability of the best binding aptamer\, however\, require a full stochastic model currently lacking in the literature. We derive such a statistical mechanics model verifying that in the large aptamer/target concentration limit\, the mass action results are recovered. Our stochastic model also allows us to calculate the extinction probability and efficiency of selection\, and to propose a method of optimizing the SELEX protocol.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-bhaven-mistry-cmc/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Applied Math Seminar
GEO:34.099908;-117.7142522
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20200128T121500
DTEND;TZID=America/Los_Angeles:20200128T131000
DTSTAMP:20260412T005633
CREATED:20200124T175017Z
LAST-MODIFIED:20200124T232945Z
UID:1791-1580213700-1580217000@colleges.claremont.edu
SUMMARY:Castelnuovo-Mumford regularity of edge ideals of graphs (Siamak Yassemi\, University of Tehran)
DESCRIPTION:Let K be a field and S = K[x_1\,…\,x_n] be the polynomial ring in n variables over K. For a graded S-module M with minimal free resolution the Castelnuovo-Mumford regularity  is defined. We survey a number of recent studies of the Castelnuovo-Mumford regularity of the ideals related to a graph and their (symbolic) powers. Our focus is on the bounds and exact values for the regularity in terms of combinatorial data from associated graphs. This research program has produced many exciting results and\, at the same time\, opened many further interesting questions and conjectures.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-by-siamak-yassemi-university-of-tehran/
LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
GEO:34.099908;-117.7142522
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20200128T150000
DTEND;TZID=America/Los_Angeles:20200128T160000
DTSTAMP:20260412T005633
CREATED:20191214T212832Z
LAST-MODIFIED:20200121T204015Z
UID:1695-1580223600-1580227200@colleges.claremont.edu
SUMMARY:Stefano Vidussi (UCRiverside)
DESCRIPTION:Title: The BNS invariant of the fundamental group of a surface bundle over a surface. \nAbstract: We will discuss some new results on the Bieri-Neumann-Strebel invariant of these groups\, showing in particular that (with obvious exceptions) they algebraically fiber. As a corollary\, we show that for “most” bundles these groups are not coherent.
URL:https://colleges.claremont.edu/ccms/event/stefano-vidussi-ucriverside/
LOCATION:CA
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20200129T161500
DTEND;TZID=America/Los_Angeles:20200129T171500
DTSTAMP:20260412T005633
CREATED:20190830T173951Z
LAST-MODIFIED:20200124T210246Z
UID:1432-1580314500-1580318100@colleges.claremont.edu
SUMMARY:A Tauberian theorem and some of its applications
DESCRIPTION:In general terms\, a Tauberian theorem deals with the relationship between the properties of one transform of a measure with those of another transform. We will introduce the notion of a Tauberian theorm\, and present our own recent theorem in this direction. Our theorem provides a uniform theory for the construction of certain localized kernels in a very general context. These in turn play a fundamental role in many different applications in numerical analysis\, signal processing\, and machine learning. We will discuss a few applications\, for example\, the construction of a theory inspired neural network for the solution of Burgers equation\, inversion of Laplace transform of point masses\, and an alternative theory for function approximation in the setting of diffusion geometry in machine learning without the need for any eigen-decomposition of a large matrix.
URL:https://colleges.claremont.edu/ccms/event/hrushikesh-mhaskar/
LOCATION:Freeberg Forum\, LC 62\, Kravis Center\, CMC
CATEGORIES:Colloquium
ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu
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